Woronowicz Tannaka-Krein duality and free orthogonal quantum groups

• Sara Malacarne ^[1]
  1. [1] University of Oslo

     University of Oslo

     Noruega

     
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 122, Nº 1, 2018, págs. 151-160
• Idioma: inglés
• DOI: 10.7146/math.scand.a-97320
• Texto completo no disponible (Saber más ...)
• Resumen

  • Given a finite-dimensional Hilbert space H and a collection of operators between its tensor powers satisfying certain properties, we give a short proof of the existence of a compact quantum group G with a fundamental representation U on H such that the intertwiners between the tensor powers of U coincide with the given collection of operators. We then explain how the general version of Woronowicz Tannaka-Krein duality can be deduced from this.